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101032131023 = 2947611215161
BaseRepresentation
bin101111000010111111…
…0111111100111001111
3100122210002210000211122
41132011332333213033
53123403211143043
6114225153111155
710204445641565
oct1360576774717
9318702700748
10101032131023
113993600544a
12176b75584bb
1396b15b9865
144c66173a35
152964b66368
hex1785fbf9cf

101032131023 has 16 divisors (see below), whose sum is σ = 108489663360. Its totient is φ = 93907564800.

The previous prime is 101032130977. The next prime is 101032131041. The reversal of 101032131023 is 320131230101.

It is a cyclic number.

It is not a de Polignac number, because 101032131023 - 28 = 101032130767 is a prime.

It is a super-3 number, since 3×1010321310233 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101032130992 and 101032131010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032131043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524438 + ... + 690723.

It is an arithmetic number, because the mean of its divisors is an integer number (6780603960).

Almost surely, 2101032131023 is an apocalyptic number.

101032131023 is a deficient number, since it is larger than the sum of its proper divisors (7457532337).

101032131023 is a wasteful number, since it uses less digits than its factorization.

101032131023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215298.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101032131023 its reverse (320131230101), we get a palindrome (421163361124).

The spelling of 101032131023 in words is "one hundred one billion, thirty-two million, one hundred thirty-one thousand, twenty-three".

Divisors: 1 29 47 61 1363 1769 2867 83143 1215161 35239669 57112567 74124821 1656264443 2149619809 3483866587 101032131023